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Misspecified Gaussian Process Bandit Optimization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use phased uncertainty sampling and elimination without knowing ε | GP bandit optimization · Misspecified kernelized bandits | cumulative regret bound: same regret guarantee without knowledge of ε | Helped |
| Enlarge GP-UCB confidence bounds using the known misspecification error ε | EC-GP-UCB · Misspecified kernelized bandits | cumulative regret: O\Big( B \sqrt{\gamma_T T} + \sqrt{(\ln (1/\delta) + \gamma_{T})\gamma_T T} + \epsilon T \sqrt{\gamma_T}\Big) | Helped |
| Use standard GP-UCB without an ε-dependent confidence enlargement when ε is unknown | GP-UCB · Misspecified kernelized bandits | cumulative regret | Hurt |
| Combine EC-GP-UCB candidates with regret bound balancing | Contextual GP bandits with stochastic action sets · Misspecified contextual kernelized bandits | contextual cumulative regret bound: \tilde{O}\Big((B\sqrt{\gamma_T} + \gamma_T) \sqrt{T} + \epsilon T \sqrt{\gamma_T} + (B\sqrt{\gamma_T} + \gamma_T)^2 \Big | Helped |
| Use phased uncertainty sampling with the linear kernel | Phased GP Uncertainty Sampling · Misspecified linear bandits | cumulative regret bound: \tilde{O}(\epsilon T \sqrt{d}) | Helped |
| Allow misspecification of size ε | Any algorithm in the general kernelized setting · Misspecified kernelized bandits | cumulative regret lower bound: \Omega(T\epsilon) | Hurt |
Closest papers by meaning
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